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Finding the Fourth Proportional to 18,647.84, 27,975.60 and 5,498.96

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Solution

The fourth proportional to 18,647.84, 27,975.60 and 5,498.96 is: 8,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647.84 : 27,975.60 = 5,498.96 : x
  2. Step 2: Convert to fraction form
    18,647.84/27,975.60 = 5,498.96/x
  3. Step 3: Cross multiply
    18,647.84x = 27,975.60 × 5,498.96
  4. Step 4: Simplify right side
    18,647.84x = 153,836,705.38
  5. Step 5: Solve for x
    x = 153,836,705.38/18,647.84
  6. Step 6: Final answer
    x = 8,249.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.